In all the calculations of the type we have performed a crucial parameter is the axion mass \(m_a\) ,
which is not known. We have been using a value of \(m_a=5\)  eV, but both lower and higher values are not excluded.
Limits much smaller than 5 eV, of the order of meV, typically come form
astrophysics [1]} (cooling of neutron stars etc via axion emission) or
supernova (SN) explosions. Recently bounds come from (SN) data [2]} which
vary from 10 to 50 meV in the context of KVSZ model. Such light axions are, of course,
not relevant for nuclear and atomic processes considered in this
work.
